Pith Number

pith:PTCD5FOW

pith:2009:PTCD5FOWEJ5BMWB34E7V5NU65Z

not attested not anchored not stored refs pending

Asymptotics of the Farey Fraction Spin Chain Free Energy at the Critical Point

J. Fiala, O.F. Bandtlow, P. Kleban, T. Prellberg

arxiv:0909.2878 v2 · 2009-09-15 · cond-mat.stat-mech · math-ph · math.DS · math.MP · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTCD5FOWEJ5BMWB34E7V5NU65Z}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:11:47.618559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cc43e95d6227a16583be13f5eb69eee4d7d7452caaa6cb937cd17877d61215f

Aliases

arxiv: 0909.2878 · arxiv_version: 0909.2878v2 · doi: 10.48550/arxiv.0909.2878 · pith_short_12: PTCD5FOWEJ5B · pith_short_16: PTCD5FOWEJ5BMWB3 · pith_short_8: PTCD5FOW

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PTCD5FOWEJ5BMWB34E7V5NU65Z \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7cc43e95d6227a16583be13f5eb69eee4d7d7452caaa6cb937cd17877d61215f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f77dbca7e74abd3ace5899fb4a104fff9f32cd3373a7df5cd1f8dde38dee6c3",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-09-15T20:36:41Z",
    "title_canon_sha256": "dc7db48fab90f24d1aed3816c8b0366aa0a44b344d18077f07ec3632fea6eb5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.2878",
    "kind": "arxiv",
    "version": 2
  }
}